Here's a solution if you don't want to manually resize. I use a windows utility (Sizer) http://brianapps.net/sizer/ to size the window on the other monitor to fit the screen, That way it looks maximized but doesn't prevent me from switching to other windows. I've bound the Sizer app to a keyboard shortcut. That way I can detach the mixer, move it to the 2nd monitor, then use Sizer to max. Source: over 2 years ago

Usually the downloader you need depends on the website you want to download the images form. In general, here are some opensource ones which support a variety of websites: gallery-dl, ripme and various other ones on github. There for paid ones, there are Extreme Picture Finder and Bulk Image Downloader, which have easier to use GUIs and are properly maintained, but as said, they are paid. Source: about 3 years ago

Yeah, I found bulkimagedownloader ages ago but its not a free tool. Not sure of what limitations the trial have. Source: about 3 years ago